Details

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 75.439453%

Results

12.0ms

256×

body

valid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	8
1	61	8
2	141	8
3	347	8
4	792	8
5	5002	8

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 12.0b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.1b	(- (* (* z 2.0) z) (* y t))
18.6b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
5×	`add-cube-cbrt`
3×	`pow1` `cbrt-undiv` `flip3--` `times-frac` `div-exp` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod`
2×	`sub-neg` `diff-log` `associate-/r/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 51

Calls

3 calls:

8.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
4.0ms	(- (* (* z 2.0) z) (* y t))
9.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series63.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
8.0ms	(- (* (* z 2.0) z) (* y t))
29.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	318	564
1	1519	493
2	5002	493

prune102.0ms

Filtered

42 candidates to 60 candidates (-42.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	8	61

Merged error: 3.9b

Counts

61 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
1.1b	(- (* 2.0 (pow z 2)) (* t y))
5.4b	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
14.6b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log` `times-frac` `add-cbrt-cube`
15×	`associate-r`
9×	`pow1`
8×	`add-log-exp`
6×	`prod-exp` `cbrt-unprod`
4×	`flip3--` `associate-/r/` `flip--`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r` `associate-/l`
2×	`sub-neg` `diff-log` `div-inv`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

4 → 88

Calls

4 calls:

2.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
6.0ms	(- (* 2.0 (pow z 2)) (* t y))
11.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
8.0ms	(- (* 2.0 (pow z 2)) (* t y))
26.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
10.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	391	883
1	1978	774
2	5001	773

prune170.0ms

Filtered

69 candidates to 100 candidates (-44.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	99	9	108

Merged error: 3.9b

Counts

108 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

11.4b	(cbrt (/ z (- (* 2.0 (pow z 2)) (* t y))))
14.6b	(/ z (- (* 2.0 (pow z 2)) (* t y)))
14.6b	(/ z (- (* 2.0 (pow z 2)) (* t y)))
14.6b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
8×	`associate-/r/`
4×	`pow1` `flip3--` `flip--` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`cbrt-div` `pow1/3`

Counts

4 → 111

Calls

4 calls:

5.0ms	(cbrt (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))
6.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))
6.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt (/ z (- (* 2.0 (pow z 2)) (* t y))))
10.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))
10.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))
10.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify106.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	250	1152
1	782	1073
2	3202	1064
3	5002	1061

prune389.0ms

Filtered

99 candidates to 123 candidates (-24.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	123	9	132

Merged error: 3.9b

Counts

132 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
1.1b	(- (* (* z 2.0) z) (* y t))
5.7b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
14.6b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

40×	`times-frac`
28×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`add-cube-cbrt`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
8×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `div-inv` `associate-/l*`
3×	`flip3--` `flip--`
2×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`div-sub` `associate-/r/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 102

Calls

4 calls:

9.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
4.0ms	(- (* (* z 2.0) z) (* y t))
8.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series71.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
8.0ms	(- (* (* z 2.0) z) (* y t))
27.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
10.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	472	1105
1	2263	993
2	5003	988

prune136.0ms

Filtered

84 candidates to 114 candidates (-35.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	1	4	5
Picked	1	0	1
Done	1	2	3
Total	115	8	123

Merged error: 1.9b

Counts

123 → 8

regimes507.0ms

Accuracy

0% (0.9b remaining)

Error of 3.1b against oracle of 2.1b and baseline of 3.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample2.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 75.439453%

Results

403.0ms

8000×

body

valid

Details

sample1.7s

simplify32.0ms

prune4.0ms

localize11.0ms

rewrite22.0ms

series63.0ms

simplify44.0ms

prune102.0ms

localize13.0ms

rewrite28.0ms

series70.0ms

simplify63.0ms

prune170.0ms

localize17.0ms

rewrite25.0ms

series59.0ms

simplify106.0ms

prune389.0ms

localize11.0ms

rewrite31.0ms

series71.0ms

simplify64.0ms

prune136.0ms

regimes507.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling